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| Generalized hamming weights of a one-step majority-logic decodable code |
| Luo Shoushan①; Zhang Zhentao②; Wu Qiuxin②; Yang Yixian②; Niu Xinxin② |
| ①School of Science Beijing Univ. of Posts and Telecom.,Beijing 100876 China;②Dept. of Info. Eng. Beijing Univ. of Posts and Telecom.,China |
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Abstract The Generalized Hamming Weights (GHW) of linear codes characterize the cryptography performance of the code on the wire-tap channel of type two. In this paper, the GHW of a kind of cyclic code, the one-step majority-logic decodable code, which is invariant under the group of afhne permutation , is studied. The GHW of the code is estimated, and some examples are given.
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Received: 18 May 2001
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2002, Vol. 24 
